APM236H1 Study Guide - Winter 2019, Comprehensive Midterm Notes -

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APM236H1
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Maximize 3xtly xYB
3.5 6ye 3
i
ii
Geometric in 112
Hyperplanes equation at aline in Raxis k
vector notation fix kEy x11
cX
General equation at aplane in 1123
fix Csk tGX3 k
vector notation 0x k
More generally eqn at ahyper
plane in Rh Ex.tt cl4nlx1
Example GHz xlaHlxER4cTx 21
Hµ
gER4 a23344 44
Hyper
plane in 424
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11 I
T
use III is
A'i HER IcT k
Note Hin Ha H
Is mean ex's 9spattaa.tt
it hit 0Rit vHUH
1
Example HYPHEN1123k 12
H9326
111111
Hr
Example 11 1421412311 1k
ii ox
Wz
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Wallkill www int
aE
µ
HER I
HlxER40x k3 y
fm Ic ie onax.io
TIX XIXEX k40
Example K31412314 11114 12
xt.IT
y
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Document Summary

Hyperplanes equation at a line in r vector notation axis k x 11. General equation at a plane in 1123 fix csk t gx3 k vector notation. More generally eqn at a hyperplane in rh ex. tt c l4nlx1. H g x l a h lxer4ctx 21. Beth let x iker the line determined by xiand xi. Her i x xx t 4 1 2 x er is. Her i x xx t all xs andxs a e oil interiorpts pts between endpts but doesn"t include endpts. Det a subset sea is called convex it for any two pts x kes the line segment connecting and xs b also in s. Dx 14 11 2 es all x i xses all deto i. Pt take any trio pts xi ike h d eco y cheek cttax convex. 11 1 1 0111 1 t ell xix. Dx thnx eli j xx 111 1 242.

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